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11055456 = 2532231669
BaseRepresentation
bin101010001011…
…000101100000
3202210200020100
4222023011200
510312233311
61032542400
7162653436
oct52130540
922720210
1011055456
116271145
123851a00
1323a10b9
14167ad56
15e85a56
hexa8b160

11055456 has 72 divisors (see below), whose sum is σ = 32825520. Its totient is φ = 3522816.

The previous prime is 11055431. The next prime is 11055463. The reversal of 11055456 is 65455011.

It is a happy number.

11055456 is a `hidden beast` number, since 110 + 5 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5790 + ... + 7458.

It is an arithmetic number, because the mean of its divisors is an integer number (455910).

Almost surely, 211055456 is an apocalyptic number.

11055456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11055456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412760).

11055456 is an abundant number, since it is smaller than the sum of its proper divisors (21770064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11055456 is a wasteful number, since it uses less digits than its factorization.

11055456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 11055456 is about 3324.9745863690. The cubic root of 11055456 is about 222.7711192362.

It can be divided in two parts, 11055 and 456, that added together give a palindrome (11511).

The spelling of 11055456 in words is "eleven million, fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 1669 2208 3312 3338 5007 6624 6676 10014 13352 15021 20028 26704 30042 38387 40056 53408 60084 76774 80112 115161 120168 153548 160224 230322 240336 307096 345483 460644 480672 614192 690966 921288 1228384 1381932 1842576 2763864 3685152 5527728 11055456